Time Speed Distance 1/1

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Time, Speed and Distance FormulasTime, Speed and Distance: Level1 ExerciseTime, Speed and Distance: Level2 Exercise

1. A train is moving with a speed of 90 km/hr. How many metres will it cover in 10 minutes ?
a. 1540 m
b. 15 km
c. 16 km
d. 17 km

Answer: B

Explanation:
92.4 km/hr = $\left( {90 \times \displaystyle\frac{5}{{18}}} \right)$ m/sec = 25 m/s
Time = $(10 \times 60)$ sec = 600 sec
Distance covered = $25 \times 600 $ = 15000 m or 15 km.

2. If a man covers 10.2 km. in 3 hours, the distance covered by him in 5 hours is :
a. 18 km
b. 15 km
c. 16 km
d. 17 km

Answer: D

Explanation:
Speed = $\left( {\displaystyle\frac{{10.2}}{3}} \right)$ km/hr = 3.4 km/hr
Distance covered in 5 hours = $(3.4 \times 5)$ km = 17 km

3. A man crosses a street 600m long in 5 minutes. His speed in km per hour is :
a. 7.2
b. 3.6
c. 10
d. 8.4

Answer: A

Explanation:
Speed = $\dfrac{\text{Distance}}{\text{Time}}$ = $\left( {\displaystyle\frac{{600}}{{5 \times 60}}} \right)$ m/s = 2 m/s
Speed in kmph = $\left( {2 \times \dfrac{{18}}{5}} \right) = \dfrac{{36}}{5}$ kmph = 7.2 kmph

4. A boy goes to school with a speed of 3 km/hr and returns to the village with a speed of 2 km/hr. If he takes 5 hours in all, the distance between the village and the school is:
a. 6 km
b. 7 km
c. 8 km
d. 9 km

Answer: A

Explanation:
Let the required distance be x km. Then.
$\displaystyle\frac{x}{3} + \displaystyle\frac{x}{2} = 5 \Rightarrow 2x + 3x = 30 \Rightarrow x = 6$

5. P and Q are two towns. Ravi covers the distance from P to Q on cycle at 16 km/hr. However, he covers the distance from Q to P on foot at 9 km/hr. His average speed during the whole journey is :
a. 12.5 km/hr
b. 10.25 km/hr
c. 11.52 km/hr
d. 12.32 km/hr

Answer: C

Explanation:
If a person travels from A to B and returns with different speeds $x$ and $y$, then average speed = $\dfrac{{2xy}}{{x + y}}$
Average speed = $\dfrac{{2xy}}{{x + y}}$ = $\left( {\displaystyle\frac{{2 \times 16 \times 9}}{{16 + 9}}} \right)$ km/hr = 11.52 km/hr

6. Ravi travelled 1200 km by air which formed $\left( {\displaystyle\frac{2}{5}} \right)$ of his trip. One third of the whole trip, he travelled by car and the rest of the journey he performed by train. The distance travelled by train was :
a. 1600 km
b. 800 km
c. 1800 km
d. 480 km

Answer: B

Explanation:
Let the total distance be x km.
Then, $\displaystyle\frac{2}{5}x = 1200 \Rightarrow x = \displaystyle\frac{{1200 \times 5}}{2} = 3000$
Distance travelled by car = $\left( {\displaystyle\frac{1}{3} \times 3000} \right)$ = 1000 km
Distance travelled by train = [(3000-(1200+1000)] km = 800 km.

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