Multiple choice

A truck driver had to deliver goods he was carrying to a port which was 932 km away from the town where he loaded the goods. He drove his truck at an average speed of 42 kmph in cities and for the rest of the journey on the highway, he drove at an average speed of 64 kmph. If he took 18 hours in total to cover the entire distance, then for how long did he travel on the highway?

  1. 7 hours and 12 minutes

  2. 8 hours

  3. 8 hours and 34 minutes

  4. 9 hours

  5. 9 hours and 14 minutes
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let x be highway time. Then (18-x) is city time. 64x + 42(18-x) = 932. 64x + 756 - 42x = 932. 22x = 176. x = 8 hours.

AI explanation

Let the time spent driving on the highway be t hours, which means the time spent driving in cities is (18 - t) hours. Using the formula distance = speed * time, the total distance equation is 64t + 42(18 - t) = 932. Expanding this gives 64t + 756 - 42t = 932, and simplifying yields 22t = 176. Dividing 176 by 22 gives t = 8, so he travelled on the highway for 8 hours.

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