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MAT Exam 2022 Paper

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Question : 83 of 200

Marks: +1, -0

A car travelling with

2/5

of its actual speed covers 400 km in 16 hours 40 min. Find the actual speed of the car.

60 kmph
64 kmph
72 kmph
68 kmph

Solution:

Concept:

Reduced speed is

\frac{2}{5}

of actual speed. Use

\text{Distance} = \text{Speed} \times \text{Time}

to find actual speed.

Explanation:

Let the actual speed be

x

km/h.

Speed actually used

= \frac{2}{5}x

km/h.

Time taken

= 16

h

40

min

= \frac{50}{3}

h.

According to the relation,

\frac{2}{5}x \times \frac{50}{3} = 400

.

Simplifying,

\frac{100x}{15} = 400

.

So,

\frac{20x}{3} = 400

.

Therefore,

x = \frac{400 \times 3}{20} = 60

km/h.

Answer:

Actual speed of the car is

60

km/h, i.e., option A.

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