Time, Speed and Distance Questions

Multiple choice
  1. $336$km
  2. $682$km
  3. $598$km
  4. $630$km
  5. None of these

Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Car speed = 66 km/hr. Time = 528 / 66 = 8 hours. Truck speed = 66 - 24 = 42 km/hr. Truck time = 8 + 7 = 15 hours. Distance = 42 * 15 = 630 km.

Multiple choice
  1. $2$ hours, $90$ km.
  2. $3$ hours, $180$ km.
  3. $4$ hours, $270$ km.
  4. $5$ hours, $90$ km.
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let t be the time at 60 km/h. Distance = 60t + 75(8-t) = 555. 60t + 600 - 75t = 555. -15t = -45, so t = 3 hours. Distance at 60 km/h is 60 * 3 = 180 km.

Multiple choice
  1. $360$ km
  2. $220$ km
  3. $180$ km
  4. $120$ km
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let d be distance and v be boat speed. Downstream: d/(v+3) = 15. Upstream: d/(v-3) = 20. So 15(v+3) = 20(v-3). 15v + 45 = 20v - 60. 5v = 105, v = 21. Distance d = 15(21+3) = 15 * 24 = 360 km.

Multiple choice
  1. $3.5$ km
  2. $4.5$ km
  3. $5.5$ km
  4. $6.5$ km
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let d be the distance. Time up = d/2.5. Time down = d/3.25. Total time = 4.6 hours. d(1/2.5 + 1/3.25) = 4.6. d(0.4 + 0.3077) = 4.6. d(0.7077) = 4.6. d = 6.5 km.

Multiple choice
  1. $8.30$ a.m.
  2. $9$ a.m.
  3. $9.30$ a.m.
  4. $10$ am
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

The first man has a 1-hour head start, covering 10 km. The relative speed is 30 - 10 = 20 km/hr. Time to overtake = distance / relative speed = 10 km / 20 km/hr = 0.5 hours (30 minutes). Since the second man started at 9 a.m., he overtakes at 9:30 a.m.

Multiple choice
  1. $15$ min early
  2. $20$ min early
  3. $5$ min early
  4. $10$ min early
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Since speed and time are inversely proportional, traveling at 4/5 of the usual speed means the time taken is 5/4 of the usual time. The extra time of 1/4 of the usual time equals 15 minutes, which means the usual time is 60 minutes. Traveling 20% faster (6/5 of the usual speed) means taking 5/6 of the usual time, which is 50 minutes, resulting in arriving 10 minutes early.

Multiple choice
  1. 8.00 hours

  2. 7.25 hours

  3. 7.50 hours

  4. 7.45 hours

Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Distance = Speed * Time. Distance = 30 km/hr * 6.2 hours = 186 km. Time for train = 186 km / 24 km/hr = 7.75 hours. 7.75 hours is 7 hours and 45 minutes.