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Train A leaves from Mumbai to Pune. At the same time Train B leaves from Pune to Mumbai. They meet at Lonavla which is 60 kms from Pune. If the distance between Mumbai and Pune is 200 kms, find the ratio of speeds of Train A and Train B.

Question

Train A leaves from Mumbai to Pune. At the same time Train B leaves from Pune to Mumbai. They meet at Lonavla which is 60 kms from Pune. If the distance between Mumbai and Pune is 200 kms, find the ratio of speeds of Train A and Train B.

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Solution

Step 1: Identify the given information. The distance between Mumbai and Pune is 200 kms. Train A and Train B meet at Lonavla which is 60 kms from Pune.

Step 2: Calculate the distance each train travels before they meet. Train A travels from Mumbai to Lonavla, a distance of 200 kms - 60 kms = 140 kms. Train B travels from Pune to Lonavla, a distance of 60 kms.

Step 3: The ratio of the distances each train travels is equal to the ratio of their speeds, since they start at the same time. So, the ratio of the speed of Train A to the speed of Train B is 140:60.

Step 4: Simplify the ratio by dividing each side by the greatest common divisor. The greatest common divisor of 140 and 60 is 20. So, 140 ÷ 20 : 60 ÷ 20 = 7:3.

Therefore, the ratio of the speeds of Train A and Train B is 7:3.

This problem has been solved

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