A cyclist rode a mile in three minutes with the wind, and returned in four minutes against the wind. Assuming that he pedals at a constant rate, how long would it take him to cycle one mile on a windless day?
Answer:
3 3/7 minutes..........If he can cycle 1 mile in three minutes with the wind (1/3 mile per minute), then he could cycle 1 1/3 (4/3) miles in four minutes with the wind. He returns against the wind in the same four minutes, so he can cycle 2 1/3 miles in eight minutes. The effect of the wind can now be ignored. So, on a windless day, he can cycle 7/3 miles in 8 minutes, or 8 divided by 7/3, one mile in 3 3/7 minutes.
3 3/7 minutes..........If he can cycle 1 mile in three minutes with the wind (1/3 mile per minute), then he could cycle 1 1/3 (4/3) miles in four minutes with the wind. He returns against the wind in the same four minutes, so he can cycle 2 1/3 miles in eight minutes. The effect of the wind can now be ignored. So, on a windless day, he can cycle 7/3 miles in 8 minutes, or 8 divided by 7/3, one mile in 3 3/7 minutes.
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