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MaRussiya [10]
3 years ago
11

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

Mathematics
1 answer:
julsineya [31]3 years ago
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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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

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