Question

What is the answers to number 27

Answer 1

The speed of plane 1 will be 300 miles/sec and that of plane 2 will be 600 miles/sec.

We have two planes flying in opposite directions to each other.

We have to determine how fast was the each plane flying.

What is the formula to calculate the distance covered by the object moving with speed -  x m/s  in time -  t s ?

The formula to calculate the distance travelled will be -

distance = speed x time = ($x$t) meters

According to the question -

Let us assume that the speed of plane 1 =  v miles/sec.

Then, the speed of plane 2 will be = 2v miles/sec.

Distance covered by plane 1 in 3 hours will be = 3v miles.

Distance covered by plane 2 in 3 hours will be = 3 x (2v) miles = 6v miles.

Since they are 2700 miles apart after three hours, therefore -

3v + 6v = 2700

9v = 2700

v = 300 miles/sec

Hence, the speed of plane 1 will be 300 miles/sec and that of plane 2 will be = 2v = 2 x 300 = 600 miles/sec.

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