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Pepsi [2]
2 years ago
12

two friends went rowing on the river. they traveled with current for 3 hours. the way back took them 4 hours and 48 minutes. fin

d the speed of the rivers current if they can row in still water at the speed of 6.5 mph
Mathematics
1 answer:
N76 [4]2 years ago
4 0

Answer:

1.5 mph

Step-by-step explanation:

The speed in the still water = 6.5 mph.

The speed of the current = x mph.

1. Two friends traveled with current for 3 hours. The speed with the current is 6.5 + x mph, so they traveled 3(x+6.5) miles.

2. Two friends traveled against the current for 4 hours and 48 minutes that is 4\dfrac{4}{5}=4.8 hours. The speed against the current is 6.5 - x mph, so they traveled 4.8(6.5-x) miles.

They traveled the same distance with the current and against the current, hence,

3(x+6.5)=4.8(6.5-x)

Solve this equation:

3x+19.5=31.2-4.8x\\ \\3x+4.8x=31.2-19.5\\ \\7.8x=11.7\\ \\x=1.5\ mph

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With that being said, Sierra has studied 3 hours.

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Reminder: Jonah studied 6 hours in total.

This means that jonahs' hours (6 hours) is equals to 3 times williams hours (3x)

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