Question

EXERCISE 9.1 A car covers 72 km in 2 hours and a train covers 120 km in 3 hours. Find the ratio of their speeds. 2 Which ratio is larger in each of the following pairs (1) 4:7 or 5 : 8 3. Fill in the blanks. (it) 2:3 or 3: 4 (in) 2:5 or 5:6 y cross 2 (in) 18 - 픈 6 15 45 18 4. Arrange the following ratios in ascending order: 5:4, 7:6, 3:2, 5:8 5. Compare the ratios 6:7 and 3: 4. 6 Give four equivalent ratios of 12 : 15. In a class test , 16 students out of 48 passed. Find the ratio between (1) passed students to total number of students. (ii) failed students to the number of passed one, 6. IFA : B = 2:3, B: C = 5:6, find A: C. [Hint : Multiply the two ratios 9. If 3A = 4B = 5C, find A:B:C. (Hint : Divide by 60, the L.C.M. of 3, 4 and 57 10. If A: B = 3:4, B: C = 5:7, find A:B:C. 28 28 [Hint: A:B = 3 : 4, B : C = 1: 4 5 5. A:B:C = 3:4; 7.​

Answer 1

Answer:

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,

Speed = Distance/Time

Substituting their values,

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

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.

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

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

Finding the ratio,

Ratio: $\frac{36}{40} =\frac{9}{10}$

Ratio: 9:10

Therefore, the ratio of the speed is 9 : 10