Jack has been on a road trip for a few days. On the 5th day he starts driving, and after 3 hours he discovers he is 750 miles from his home. 4 hours after that, he discovers he is 538 miles from home. Assuming he is driving at a constant rate, find his speed and how far from home he was at the beginning of the 5th day.

Question

Kyra Sullivan

Mathematics

12 September, 04:45

Jack has been on a road trip for a few days. On the 5th day he starts driving, and after 3 hours he discovers he is 750 miles from his home. 4 hours after that, he discovers he is 538 miles from home. Assuming he is driving at a constant rate, find his speed and how far from home he was at the beginning of the 5th day.

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Brennen Hood · Answer 1

To find the constant speed, we know from the passage that after 4 hours he went 212 miles because 750-538 is 212. 212 divides by 4 is 53 so he is going 53 miles per hour.

So all we need to do is figure 53 times 3 hours, which is 159, so we add 750+159 to get how many miles he is away from home