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3 years ago

Two thirds of a number is 3 1/2 more than three eights of a number. find the number

1 answer:

6 0

2/3x = 3.5 + 3/8x
8 • (2/3x) = 3.5 + 3 • (3/8)

16/24 X = 3.5 + 9/24 X
16/24x - 9/24x = 3.5
7/24 X = 3.5
7x/24 = 3.5
24 • (7x/24) = 3.5 • 24
7x = 84
7x/7 = 84/7
X = 12.

The number is 12.

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It takes 32 hours for a motorboat moving downriver to get from pier A to pier B. The return journey takes 48 hours. How long doe

lina2011 [118]

Answer:

Time taken by the un powered raft to cover this distance is T = 192.12 hr

Step-by-step explanation:

Let speed of boat = u $\frac{km}{hr}$

Speed of current = v $\frac{km}{hr}$

Let distance between A & B = 100 km

Time taken in downstream = 32 hours

$32 = \frac{100}{u +v}$

$u + v = \frac{100}{32}$

u + v = 3.125 ------ (1)

Time taken in upstream = 48 hours

$48 = \frac{100}{u -v}$

$u -v = \frac{100}{48}$

u - v = 2.084 ------- (2)

By solving equation (1) & (2)

u = 2.6045 $\frac{km}{hr}$

v = 0.5205 $\frac{km}{hr}$

Now the time taken by the un powered raft to cover this distance

$T = \frac{100}{v}$

Because un powered raft travel with the speed of the current.

$T = \frac{100}{0.5205}$

T = 192.12 hr

Therefore the time taken by the un powered raft to cover this distance is

T = 192.12 hr

3 0

3 years ago

Read 2 more answers

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Valentin [98]

Answer:

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Step-by-step explanation:

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Paul [167]

Answer:

Step-by-step explanation:

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