Question

Comprehension

Direction: Study the given data carefully and answer the following question.

There are 3 cars A, B and C. They can travel some distance with different speed.

Car A: It travels some distance which is \(33\frac{1}{3}\% \) more than the distance travelled by Car B.

Car B: It travels at speed of 50 km/hr for \(7\frac{1}{2}\) hours.

Car C: It goes a distance of 400 km at 20% less speed than Car B.

1. 30%
2. 60%
3. 50%
4. 25%
5. 55%

Answer 1

Correct Answer - Option 2 : 60%

Given:

Car A travels some distance which \(33\frac{1}{3}\% \) more than the distance travelled by Car B.

Car B travels at speed of 50 km/hr for \(7\frac{1}{2}\) hours.

Car C travels a distance of 400 km at 20% less speed than Car B.

The Car A takes 25 hours to travel the distance.

Concept Used:

Distance = Speed × Time 

Calculation:

Car B travels at speed of 50 km/hr for \(7\frac{1}{2}\) hours.

The distance travels by Car B = 50 × \(7\frac{1}{2}\)   

⇒ 50 × 15/2 = 25 × 15 = 375km

Car A travels some distance which \(33\frac{1}{3}\% \) more than the distance travelled by Car B.

The distance travels by Car A = (100 + \(33\frac{1}{3}\))/100 × 375 = 4/3 × 375 = 500

The Car A takes 25 hours to travel the distance.

The speed of Car A = 500/25 = 20 km/hr

Car B travels at speed of 50 km/hr

The percentage = (50 - 20)/50 × 100 = 60%

∴ The speed of Car A is 60% less than the speed of Car B.