题目

A canoeist spent two days on a large lake. On the second day, the canoeist rowed 2 hours longer and at an average speed 2 miles per hour faster than he rowed on the first day. If the canoeist traveled a total of 50 miles and spent a total of 12 hours rowing on his trip, what was his average speed on the first day?


选项

A.

2mph

B.

3mph

C.

4mph

D.

5mph

E.

6mph

解析

已知第二天划独木舟的人比第一天多划了2小时,平均速度也快了2英里/小时。 设第一天划独木舟的时长为\( t \)小时,那么第二天的时长就是\( t + 2 \)小时;再设第一天的速度为\( r \)英里/小时,那么第二天的速度就是\( r + 2 \)英里/小时。 已知划船的总时长是12小时,我们可以求出\( t \)的值: \( t + t + 2 = 12 \) \( 2t = 10 \) \( t = 5 \) 因此,第一天划了5小时,第二天划了7小时。 又已知划独木舟的人总共行驶了50英里。由于路程=速度×时间,第一天的路程可表示为\( 5r \),第二天的路程可表示为\( 7(r+2) = 7r + 14 \)。因此: \( 5r + 7r + 14 = 50 \) \( 12r = 36 \) \( r = 3 \) 答案:B
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