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Select the correct answerThree cars A, B and C started from a point at 5 pm, 6 pm and 7 pm respectively and travelled at uniform speeds of 60 km/hr, 80 km/hr and x km/hr respectively in the same direction. If all the three met at another point at the same instant during their journey, then what is the value of x?Options120105100110

Question

Select the correct answerThree cars A, B and C started from a point at 5 pm, 6 pm and 7 pm respectively and travelled at uniform speeds of 60 km/hr, 80 km/hr and x km/hr respectively in the same direction. If all the three met at another point at the same instant during their journey, then what is the value of x?Options120105100110

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Solution

To solve this problem, we need to understand that the distance each car travels is the same since they all meet at the same point.

The distance is calculated by the formula: Distance = Speed x Time

  1. Car A travels from 5 pm to the meeting time. Let's assume they meet at 8 pm. So, Car A travels for 3 hours at a speed of 60 km/hr. Therefore, the distance Car A travels is 60 km/hr x 3 hr = 180 km.

  2. Car B travels from 6 pm to the meeting time. So, Car B travels for 2 hours at a speed of 80 km/hr. Therefore, the distance Car B travels is 80 km/hr x 2 hr = 160 km.

Since the distance each car travels is the same, we can conclude that the meeting time is after 8 pm. Let's assume they meet at 9 pm.

  1. Car A travels for 4 hours at a speed of 60 km/hr. Therefore, the distance Car A travels is 60 km/hr x 4 hr = 240 km.

  2. Car B travels for 3 hours at a speed of 80 km/hr. Therefore, the distance Car B travels is 80 km/hr x 3 hr = 240 km.

  3. Car C travels from 7 pm to the meeting time. So, Car C travels for 2 hours. We need to find the speed of Car C. Since the distance is the same for all cars, Car C also travels 240 km. Therefore, the speed of Car C is 240 km / 2 hr = 120 km/hr.

So, the correct answer is 120 km/hr.

This problem has been solved

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