It takes 40 min for a bus to cover 36 miles. A car travels 1.4 times faster. When will they meet if they started 36 miles apart

Question

3 years ago

11

and simultaneously move towards each other?
If they were moving in opposite directions the biker's speed is ___ mph and the walker's speed is ___ mph

1 answer:

Dmitrij [34] · Answer 1 · 2022-08-25T05:47:45+03:00

we know that

speed=distance/time

It takes 40 min for a bus to cover 36 miles

then

speed of the bus=distance/time--------> 36/40-------> 0.9 miles/min

speed of the car=1.4*speed of the bus-----> 1.4*0.9----> 1.26 miles/min

For time=t

bus

t=distance/speed--------> t=x/0.9------> equation 1

car

t=distance/speed--------> t=(36-x)/1.26-----> equation 2

equate equation 1 and equation 2

x/0.9=(36-x)/1.26-----> 1.26x=0.9*(36-x)-----> 1.26x=32.4-0.9x

1.26x+0.9x=32.4------> x=32.4/2.16-------> x=15 miles

equation 1

t=x/0.9------> 15/0.9------> t=16.67 min

the answer is

they will meet at the time 16.67 minutes