Time, Speed and Distance

Three athletes, Sarah, Mike, and Anna, are competing in a 10-kilometer race. Sarah runs at a constant speed of 15 kilometers per hour, Mike runs at a constant speed of 12 kilometers per hour, and Anna runs at a constant speed of 10 kilometers per hour. If all three athletes start at the same time, who will cross the finish line first, and how long will it take for them to cross the finish line?

Directions: Study the table carefully to answer the question that follows Distance (in km) travelled by six people on cars on six different days of a week: Person → Day ↓ Parmish Goldy Ranjit Mankirat Ninja Diljit Monday 240 250 320 325 330 300 Tuesday 320 264 308 314 318 314 Wednesday 324 294 330 312 310 325 Thursday 288 300 310 278 260 275 Friday 366 302 288 292 270 268 Saturday 292 284 260 274 290 242 If the speed of Parmish' car on Monday was 19.2 kmph, what was the time taken by him to cover the given distance?

Quantity I: A bus travels a distance 60km at the speed of 30kmph. It covers the next 15km of its journey at the speed of 5kmph and the last 60km of its journey at the speed of 20kmph. Find the average speed of the bus. Quantity II: A car covers a distance of 240km in a certain amount of time at speed of 30 kmph. What is the average speed of bike that covers distance of 30km less than that of the car in 2 hours less than time taken by car?

Two siblings, Sarah and Alex, decided to work on a fitness challenge together. They started jogging simultaneously from two different points: Sarah from Point A and Alex from Point B, which were 1 kilometre apart. Sarah jogged towards Point B, while Alex jogged towards Point A. After reaching their respective destinations, they turned around and jogged back to their starting points. This back-and-forth routine continued without any breaks. The ratio of Sarah's jogging speed to Alex's was 3 : 2. What is the total distance jogged by Sarah by the time she and Alex meet each other at Point A for the first time?

Two friends, Akash and Balram, decide to embark on a unique road trip adventure. Akash starts driving north from their starting point at a steady speed of 15 km/hr, while Balram sets off in east direction at a speed that is three times faster than Akash's from the same point. After 30 minutes, Akash sends a message to Balram, saying he just passed by a lakeside park. Then, 15 minutes later, Balram excitedly messages Akash that he is currently at a charming countryside diner. As time goes on, both Akash and Balram eventually decide to stop their cars at the same moment. If the direct distance between their current positions is 120 km, how far (in km) is Balram now from that lakeside park?

Two cyclists, Alice and Bob, start cycling towards each other from two different points on a straight road. Alice starts from Point A and cycles at a speed of 17 km/hr, while Bob starts from Point B and cycles at a speed of 13 km/hr. A butterfly rests on Alice's handlebar, while a dragonfly rests on Bob's handlebar. Both insects start flying towards each other from the moment the cyclists start in the same route. The butterfly flies at a speed of 27 km/hr, and the dragonfly flies at a speed of 30 km/hr. They meet each other and immediately return to their respective cyclists. They continue this pattern until the cyclists meet. If the distance between Point A and Point B is 20 km, what is the sum of the distances travelled by both butterfly and dragonfly?

Tom and Sarah start a journey from the same point to a destination. Tom travels at an average speed of 60 miles per hour, while Sarah travels at an average speed of 70 miles per hour. After reaching the destination, they immediately return using the same route. Tom increases his speed by 20% on the return journey compared to his outbound journey, and Sarah maintains her original speed. What is the absolute difference between Tom's and Sarah's average speeds (in miles per hour) for the entire round trip?

Given below are two statements based on the following: Aman takes half time in rowing a certain distance downstream than upstream. Statement (I): Ratio of the speed of the boat in still water to the speed of the water current is 2 : 1. Statement (II): If the speed of the boat in still water is 6 km per hour, then the speed of the water current is 2 km per hour. In light of the above statements, choose the most appropriate answer from the options given below.

Directions: The following problem has a question and two statements which are labeled (A) and (B). Use the data given in (A) and (B) to decide whether the given statements are sufficient to answer the question. Then mark answer: What is the speed of a car? (A) When it travels 10 km/hr slower it takes 5 hours longer to cover 100 kms. (B) When it travels 5 km/hr faster, it takes one hour less to cover 100 kms.

A motorboat race is held in Bogasha river in Kenya over 3 stretches; P, Q and R. The maximum speeds allowed in stretches P, Q and R are 80 km/hr, 65 km/hr and 30 km/hr, respectively. The minimum speeds allowed over the 3 stretches are 50 km/hr, 40 km/hr and 15 km/hr, respectively. Each of the stretches is 4 km in length and speed over a stretch is assumed constant. Current record for the race is 12 minutes 30 seconds. Abdul completes the first stretch at the minimum speed and is able to maintain the same speed in the second stretch also. If he takes 60% more time than the current record time, then his speed over the stretch R is approximately

Directions: The question below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements is sufficient to answer the question. Read both the statements and mark the correct answer. What is the speed of the boat in still water? (in kmph) I. The boat takes total time of 4 hours to travel 14 km upstream and 35 km downstream together. II. The boat takes total time of 5 hours to travel 29 km upstream and 24 km downstream together.

The speed of car A is thrice that of car B whereas the speed of car C is twice that of car A. there are three points P, Q and R along a straight line such that point Q is between point P and R. Car starts from Q moving towards R, can A start at P towards R whereas car B starts at point R moving towards P with all the three cars starting simultaneously. The moment car C meets car B, it turns back and start moving towards point Q, such that both car A and car C arrive at point Q simultaneously. If the distance between points P and R is 5200 m, how far (in m) is point Q from point R?

David and Emma are participating in a charity walkathon. They both start from the same point and head towards a checkpoint 5 kilometers away. David walks at a constant speed and takes 10 minutes to walk each kilometer. Emma starts her walk 6 minutes after David and walks at a different constant speed. When David reaches the checkpoint, he takes a 5-minute rest before starting to walk back. After walking back 1 kilometer, he meets Emma on her way to the checkpoint. If David's speed is 6 kilometers per hour, how long does it take Emma to walk 1 kilometer?

A speedboat travels at a speed of s kilometers per hour in still water and moves directly upstream and downstream along the center of a straight canal. The boat's speed relative to the bank depends only on the speed and direction of the current. What is the value of s? (1) It takes the same amount of time for the boat to travel 6 kilometers downstream as it takes to travel 4 kilometers upstream. (2) The current flows downstream at a constant speed of 1.5 kilometers per hour.