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mezya [45]
3 years ago
11

BRT,DBF,HIL,NPR,.....

Mathematics
1 answer:
Sergio039 [100]3 years ago
4 0
OSOSPWBSWR F SDOSOEPW.,
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Two towns are 1,100 miles apart. A group of hikers Starts from each town and walks down the trail toward each other. They meet a
OLga [1]

Answer:

3.54 and 1.04

Step-by-step explanation:

Given:

Two towns are 1,100 miles apart.

A group of hikers Starts from each town and walks down the trail toward each other..

They meet after a total hiking time of 240 hours.

If one group travels 2 1/2 mile per hour slower than the other group.

<u>Question asked:</u>

Find the rate of each group.

<u>Solution:</u>

Let speed of faster hiker = x\ mph

Speed of slower hiker = x-\frac{5}{2}\ mph

<u>As we know:</u>

<u />Distance=speed\times time

Total distance between two town = Total combined speed of both hikers \timesTotal combined time taken

1100=(x+x-\frac{5}{2} )\times240\\ \\ Dividing\ both\ sides\ by\ 240\\ \\ 4.58=(x+x-\frac{5}{2} )\\ \\ 4.58=2x-\frac{5}{2} \\ \\Adding\ both\ sides\ by\ \frac{5}{2} \\ \\ 4.58+ \frac{5}{2}=2x- \frac{5}{2}+ \frac{5}{2}\\ \\ \frac{2\times4.58+5}{2} =2x\\ \\ \frac{14.16}{2} =2x\\ \\ By \ cross\ multiplication\\ \\ 2\times2x=14.16\\ \\ 4x=14.16

By\ dividing\ both\ sides\ by \ 4\\ \\ x=3.54\ miles\ per\ hour

Speed of faster hiker = x\ mph = 3.54 miles per hour.

Speed of slower hiker = x-\frac{5}{2}\ mph =

3.54-\frac{5}{2} =3.54-2.5=1.04\ miles\ per\ hour

Therefore, speed of faster hiker is 3.54 miles per hour and speed of slower hiker is 1.04 miles per hour.

8 0
3 years ago
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