Quantitative Aptitude

Time, Speed and Distance

2,165 Questions
All Core formulas and unit conversion 441 Boats and streams effective speed 396 Relative speed, meetings, and overtaking 375 Average speed 362 Early and late arrival 321 Proportional relationships 202 Stoppage time per hour 35 Train and stationary or moving object crossing 17 Races and dead heats 16

Time, Speed and Distance Questions

Multiple choice

Directions: Select the correct alternative from the given choices. The distance between two cities, A and B, is partly uphill, partly on level ground and partly downhill. It took three hours for a bus to go from A to B, whereas it took 40 minutes more to make the return journey. Find the distance (in km) between A and B, if the uphill speed, the downhill speed and that on the level ground of the bus are 40 km/hr, 50 km/hr and 48 km/hr respectively?

  1. 240

  2. 160

  3. 200

  4. Cannot be determined
Reveal answer Fill a bubble to check yourself
B Correct answer
Multiple choice

Directions: Select the correct alternative from the given choices. lf it takes 50% more time to row a boat upstream over a certain distance than what it takes to row the boat downstream over the same distance, then how many times the speed of the stream is the speed of the boat upstream?

  1. 4

  2. 1

  3. 1.5

  4. 5
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

If the downstream time is t, the upstream time is 1.5t, so the upstream speed is 2/3 of the downstream speed. Let the boat speed in still water be b and stream speed be s. Solving b - s = 2/3(b + s) gives b = 5s, so the upstream speed b - s is 4 times the stream speed.

Multiple choice

Directions: Compare Quantity A and Quantity B, using additional information centered above the two quantities if such information is given, and select one of the following four answer choices: Quantity A Quantity B Distance travelled in 105 minutes at a speed of 48 mph Distance travelled in 85 minutes at a speed of 65 mph

  1. Quantity A is greater than quantity B.

  2. Quantity B is greater than quantity A.

  3. Both quantities are equal.

  4. The relationship between the quantities cannot be determined.
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Quantity A: Distance = 48 * (105/60) = 48 * 1.75 = 84 miles. Quantity B: Distance = 65 * (85/60) = 65 * 1.4166 = 92.08 miles. Quantity B > Quantity A.

Multiple choice

The distance between City A and City B is 140 miles. Danny starts driving from City A to City B at 3:00 PM and travels at 70 mph. He spends 20 minutes in City B. At what speed should he drive while coming back, if he needs to come back to City A at exactly 7:00 PM?

  1. 66 mph

  2. 75 mph

  3. 80 mph

  4. 84 mph

  5. 90 mph
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Distance is 140 miles. Outbound time = 140/70 = 2 hours. He arrives at 5:00 PM, stays 20 mins, leaves at 5:20 PM. He needs to return by 7:00 PM, so he has 1 hour and 40 minutes (100 minutes = 5/3 hours). Speed = 140 / (5/3) = 140 * 3 / 5 = 84 mph.

Multiple choice

Two stations P and Q are 110 km apart on a straight track. One train starts from P at 7 a.m. and travels towards Q at 20 kmph. Another train starts from Q at 8 a.m. and travels towards P at a speed of 25 kmph. At what time will they meet?

  1. 10:30 am

  2. 10 am

  3. 9:30 am

  4. 9 am

  5. 11 am
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

At 8 a.m., the first train has covered 20 km. Remaining distance = 110 - 20 = 90 km. Relative speed = 20 + 25 = 45 km/hr. Time to meet = 90 / 45 = 2 hours. 8 a.m. + 2 hours = 10 a.m.