Respuesta :
1) If a plane is flying at 40 mph while another plane is flying at 100 mph and they are 200 miles apart, how long will it take them to collide?
time=distance/speed
distance between the planes=200 miles
relative speed=(100+40)=140 mph
thus time taken for them to collide will be:
200/140
=1.43 hours
2] Ivan and Kate live 40 miles apart. If Ivan started pedaling towards Kate at 8:00 a.m. at a steady 12 mph while Kate left to meet Ivan at 9:30 a.m. but rode at 16 mph, at what time will they meet?
Time=(distance)/(speed)
relative speed=(40+12)=52 mph
distance=40 miles
thus
time=40/52=0.769 h=0.8 hours=48 min
time they will meet will be:
9:30+48=10:18 a.m
3) A truck with a heavy load drove from Boston to New York at 40 mph. After unloading, it returned from New York to Boston at a speed of 60 mph. What was its average speed for the whole trip?
average speed is given by:
(40+60)/2
=100/2
=50 mph
time=distance/speed
distance between the planes=200 miles
relative speed=(100+40)=140 mph
thus time taken for them to collide will be:
200/140
=1.43 hours
2] Ivan and Kate live 40 miles apart. If Ivan started pedaling towards Kate at 8:00 a.m. at a steady 12 mph while Kate left to meet Ivan at 9:30 a.m. but rode at 16 mph, at what time will they meet?
Time=(distance)/(speed)
relative speed=(40+12)=52 mph
distance=40 miles
thus
time=40/52=0.769 h=0.8 hours=48 min
time they will meet will be:
9:30+48=10:18 a.m
3) A truck with a heavy load drove from Boston to New York at 40 mph. After unloading, it returned from New York to Boston at a speed of 60 mph. What was its average speed for the whole trip?
average speed is given by:
(40+60)/2
=100/2
=50 mph