Question

EXERCISE 9.1
1. A car covers 72 km in 2 hours and a train covers 120 km in 3 hours. Find the ratio of their speeds.​

Answer 1

Answer:

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Answer 2

Given :-

A car covers 72 km in 2 hours.

A train covers 120 km in 3 hours.

To Find :-

The ratio of their speeds.​

Analysis :-

Speed = Distance/Time

Using this formula find the speed of both car and train.

Write them in fractions and simplify it.

Solution :-

We know that,

• d = Distance
• t = Time

Given that,

A car covers 72 km in 2 hours.

By the formula,

$\underline{\boxed{\sf Speed=\dfrac{Distance}{Time} }}$

Substituting their values,

$\sf Speed=\dfrac{72}{2} =36 \ km/hr$

Therefore, the speed of the car is 36 km/hr

Finding the speed of train,

Given that,

A train covers 120 km in 3 hours.

$\sf Speed=\dfrac{120}{3} =40 \ km/hr$

Therefore, the speed of the train is 40 km/hr

Finding the ratio,

$\sf Ratio=\dfrac{36}{40} =\dfrac{9}{10}$

$\sf Ratio=9:10$

Therefore, the ratio of the speed is 9 : 10