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MAT Exam 2021 Paper

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Question : 105 of 200

Marks: +1, -0

If Sanjit walks to school and rides his bicycle back home, it takes him 90 min. If he rides his bicycle both ways it takes him 30 min. How many hours would it take him to make the trip to school and back by walking, assuming that he walks at a constant speed and that he cycles at a constant speed ?

2 h
2.5 h
3 h
3.5 h

Solution:

Concept:

Let walking time one way be

w

and cycling time one way be

c

.

Explanation:

Walking one way and cycling back takes 90 minutes.

So,

w + c = 90

.

Cycling both ways takes 30 minutes.

So,

2c = 30

, which gives

c = 15

minutes.

Substitute

c = 15

into

w + c = 90

:

w + 15 = 90 \Rightarrow w = 75

minutes.

Walking both ways takes

2w = 2 \times 75 = 150

minutes.

Convert to hours:

150 \div 60 = 2.5

hours.

Answer:

The correct option is B. 2.5 h.

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