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Ivahew [28]
3 years ago
7

A boat can travel 23mph in still water. If it travels 248 miles with the current in the same length of time it travels 120 miles

against the current, what is the speed of the current?
Mathematics
1 answer:
mixas84 [53]3 years ago
4 0

Answer: the speed of the current is 8 mph.

Step-by-step explanation:

Let represent the speed of the current

boat can travel 23mph in still water. This means that the total speed with which the boat travelled is (23 + x) mph.

Time = distance/speed

If it travels 248 miles with the current, it means that the time it took the boat to travel with the current is

248/(23 + x)

in the same length of time it travels 120 miles against the current. This means that the total speed with which the boat travelled is (23 - x) mph. The time it took the boat to travel against the current is

120/(23 - x)

Since the time is the same, it means that

248/(23 + x) = 120/(23 - x)

Cross multiplying, it becomes

248(23 - x) = 120(23 + x)

5704 - 248x = 2760 + 120x

120x + 248x = 5704 - 2760

368x = 2944

x = 2944/368

x = 8 mph

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A jet plane travels 2 times the speed of a commercial airplane. The distance between Vancouver
Romashka [77]

Answer:

The time of a commercial airplane is 280 minutes

Step-by-step explanation:

Let

x -----> the speed of a commercial airplane

y ----> the speed of a jet plane

t -----> the time that a jet airplane takes  from Vancouver to Regina

we know that

The speed is equal to divide the distance by the time

y=2x ----> equation A

<u><em>The speed of a commercial airplane is equal to</em></u>

x=1,730/(t+140) ----> equation B

<u><em>The speed of a jet airplane is equal to</em></u>

y=1,730/t -----> equation C

substitute equation B and equation C in equation A

1,730/t=2(1,730/(t+140))

Solve for t

1/t=(2/(t+140))

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2t-t=140

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therefore

The time of a commercial airplane is

t+140=140+140=280 minutes

6 0
4 years ago
Write an expression that can be used to find the price of a shirt that is 60% off the original price x
goldenfox [79]

Answer:

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Step-by-step explanation:

If x is the original price, 60% of x is 0.60x. When that is subtracted from the original price, the sale price is ...

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Full price is 100% of x. If the price has been reduced 60%, then 40% of the original price remains as the sale price.

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