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mestny [16]
2 years ago
12

Help me pls and pls explain

Mathematics
1 answer:
Luda [366]2 years ago
8 0

Answer:

5.1 mph

Step-by-step explanation:

she ran 3 2/5 miles in 2/3 hours.

that is the essential information to solve the problem. everything else is just there to give you "atmosphere" and Shao to confuse you.

the question is simply : what was her speed in mph ?

that means we need to bring the ratio of

3 2/5 miles / 2/3 hours

to 1 hour in the denominator (instead of 2/3 hours).

because we need that to express miles per (one) hour.

so, what do we need to multiply 2/3 with to get 1 (=3/3) ?

2/3 × x = 1

2x = 3

x = 3/2

so, to get 1 hour, we need to multiply the denominator by 3/2.

and to keep the original value of the ratio, we need to multiply also the numerator by the same 3/2.

speed = (3 2/5 miles × 3/2) / (2/3 hours × 3/2) =

= (17/5 miles × 3/2) / (1 hour) = 51/10 miles / 1 hour =

= 5.1 miles / 1 hour = 5.1 mph

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