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Select the correct answerA train running at 711 of its own speed reached a place in 22 hours. How much time could be saved if the train would run at its own speed?Options7 hours14 hours8 hours16 hours

Question

Select the correct answerA train running at 711 of its own speed reached a place in 22 hours. How much time could be saved if the train would run at its own speed?Options7 hours14 hours8 hours16 hours

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Solution

To solve this problem, we first need to understand that the train is currently running at 7/11 of its own speed. This means it's running slower than its normal speed.

  1. Let's assume the normal speed of the train is x km/h and the distance to the place is d km.

  2. When the train is running at 7/11 of its own speed, its speed is (7/11)x km/h.

  3. The time it takes to reach the place is distance divided by speed, so in this case, it's d / [(7/11)x] = 22 hours.

  4. From this equation, we can find that the distance d = 22 * (7/11)x = 14x km.

  5. If the train runs at its own speed, the time it would take is distance divided by speed, so it's d / x = 14x / x = 14 hours.

  6. The time saved if the train would run at its own speed is the original time minus the time it would take at its own speed, so it's 22 hours - 14 hours = 8 hours.

So, the correct answer is 8 hours.

This problem has been solved

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