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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 1/3 more than the distance travelled by Car B.
Car B: It travels at speed of 50 km/hr for 7 1/2 hours.
Car C: It goes a distance of 400 km at 20% less speed than Car B.
If the Car C starts travel first and after 2 hours Car B start travelling in the same direction, then find after how many hours Car B meets Car C.
7 hours
9 hours
5 hours
8 hours
10 hours
All right, let's roll up our sleeves on this one. Start with the basics:
- Car B goes at 50 km/hr for 7.5 hours.
- So, distance for B = 50 × 7.5 = 375 km.
- Car A goes 33?% more than B.
- That means ? more. 33?% of 375 = 125, so Car A = 375 + 125 = 500 km.
- Car C goes 400 km at 20% less speed than B.
- 20% less than 50 km/hr: 50 × 0.8 = 40 km/hr.
Now the main bit—B starts 2 hours after C, and both go in the same direction.
- In 2 hours, C covers 2 × 40 = 80 km.
- After those 2 hours, B starts chasing:
- The speed difference: 50 km/hr (B) – 40 km/hr (C) = 10 km/hr.
- Gap to close: 80 km.
- Time to close gap: 80 km / 10 km/hr = 8 hours.
So, after 8 hours, Car B catches up to Car C. That’s option 4.
? Option: 4 – 8 hours is the right answer.
By: Parvesh Mehta ProfileResourcesReport error
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