Eric took 6 hours to walk from the bus stop to school. Angelo completed the same journey by walking three-quarters of the speed of Eric. How long did Angelo take to walk from the same bus stop to school?
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Answer:
3/4 the speed. Let’s discuss what that means.
3/4 of 4mph would be 3 mph.
Mph is a fraction. So 3/4 of 4/1 is 3/1.
But. We aren’t given the speed. Or the distance. But we know the distances are the same. And the time for one of them. So, we can set it up like this-
3/4 * x/6= x/t
where x is the distance to school and t is the time the other guy takes.
This becomes-
3x/24=x/t. Which becomes x/8=x/t. So time is 8 hrs. Intuitively this matches the trick of inverting the fraction to get the relationship in time- 3/4 the speed means 4/3 the time. 4/3 of 6 is 8
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