### Work, distance and Time

 Description: Work, distance and Time Number of Questions: 12 Created by: Aliensbrain Bot Tags: maths speed maths word problems on speed time and distance problems involving speed time and distance
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A goods train of length 500 m transverse a 2-km-long tunnel at a constant speed of 36 km/hour. The time needed for the train to completely pass through the tunnel is

1. 3 minutes 20 seconds

2. 4 minutes 10 seconds

3. 4 minutes 40 seconds

4. 6 minutes 10 seconds

Correct Option: B
1. going speed =−30km/hr, returning=−20km/hr

2. going speed =20km/hr, returning=30km/hr

3. going speed =30km/hr, returning=40km/hr

4. going speed =30km/hr, returning=20km/hr

Correct Option: B
1. 5 h

2. 4.5 h

3. 6 h

4. 7 h

Correct Option: A
Explanation:

$$speed=\frac{distance}{time}$$ $$time=\frac{distance}{speed}$$ $$time=\frac{300}{60}h$$ $$time=5 hr$$

1. 6

2. 5

3. 8

4. None of these

Correct Option: A
Explanation:

Time taken to walk 17km=5hrs.
Time taken to walk $1km=\dfrac{5}{17}hrs.$
Time taken to walk $20.4km=\dfrac{5}{17} \times20.4$

$=6 hrs.$

A man runs round a circular field of radius 50m at the speed of 12km/hr. What is the time taken by the man to take twenty rounds of the field?

1. 30 min

2. 32 min.

3. 34 min.

4. None of these

Correct Option: B

If a person walks at 14 km/hr instead of 10 km/hr, he would have walked 20 km more. The actual distance traveled by him is :

1. 50 km

2. 56 km

3. 70 km

4. 80 km

Correct Option: A
Explanation:

Let the actual distance travelled be x km.
Then, $\dfrac{x}{10}=\dfrac{x+20}{14}$

$14x=10x+200$
$4x=200$
$x=50 km$

1. 16 m

2. 18 m

3. 20 m

4. 22 m

Correct Option: C
Explanation:

Distance covered by B in 6 sec $= \dfrac{(1000}{300}×6)=20 m$

If a car travels 150 km in 5 hours then its speed is

1. 150 km/hr

2. 30 km/hr

3. 50 km/hr

4. 10 km/hr

Correct Option: B
Explanation:

$Speed=\dfrac{distance}{time}=\dfrac{150}{5}$ $=30 km/hr$

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