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TiliK225 [7]
3 years ago
15

A motorboat travels 220 kilometers in 4 hours going upstream. It travels 260 kilometers going downstream in the same amount of t

ime. What is the rate of the boat in still water and what is the rate of the current? Rate of the boat in still water: kmh Rate of the current: kmh
Mathematics
1 answer:
aliya0001 [1]3 years ago
6 0

Answer:    The rate of boat is 60 kmh.

                  The rate of current is 5 kmh.

Step-by-step explanation:

Alright, lets get started.

Suppose the rate of boat in still water is : b kmh

Suppose the rate of current is  : c kmh

When the boat is going upstream, the relative speed will be : (b-c)

When the boat is going downstream, the relative speed will be: (b+c)

Boat travels 220 kilometers in 4 hours going upstream.

speed=\frac{distance}{time}

(b-c)=\frac{220}{4}   .................. equation (1)

It travels 260 kilometers going downstream in the same amount of time.

(b+c)=\frac{260}{4}  ................... equation (2)

Adding equation 1 and 2

b-c+b+c=\frac{220}{4}+\frac{260}{4}

2b=\frac{480}{4}

2b=120

b=60

Plugging the value of b as 60 in equation 2

60+c=\frac{260}{4}

60+c=65

c=5

Hence the rate of boat is 60 kmh.

Hence the rate of current is 5 kmh.

Hope it will help :)

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