Answer:
1. Speed = 18 miles per hour
2. The distance is 280 miles.
3. The average speed is 52.5 miles per hour.
4. The time to arrive in Leeds would be 11.50 am.
5. Time = 500 s (8 minutes 20 seconds)
6. speed = 48 miles per hour
b. time taken = 6 hours 40 minutes
Step-by-step explanation:
1. Distance = 90 miles and time = 5 hours
speed = [tex]\frac{distance}{time}[/tex]
= [tex]\frac{90}{5}[/tex]
= 18
average speed of the cyclist is 18 miles per hour.
2. speed = 70 mph, and time = 4 hours
speed = [tex]\frac{distance}{time}[/tex]
distance = speed x time
= 70 x 4
= 280 miles
The distance is 280 miles.
3. distance = 315 miles, and time = 6 hours.
speed = [tex]\frac{distance}{time}[/tex]
= [tex]\frac{315}{6}[/tex]
= 52.5
The average speed is 52.5 miles per hour.
4. distance = 210 miles, and speed - 90 mph.
speed = [tex]\frac{distance}{time}[/tex]
time = [tex]\frac{distance}{speed}[/tex]
= [tex]\frac{210}{90}[/tex]
= 2 hours 20 minutes
The time to arrive in Leeds would be 11.50 am.
5. distance = 2000 m, and speed = 4 m/s.
time = [tex]\frac{distance}{speed}[/tex]
= [tex]\frac{2000}{4}[/tex]
= 500 s
It would take the athlete 500 s (8 minutes 20 seconds) to cover the distance in the given speed.
6. distance = 420 miles, and time = 8 hours 45 minutes
But, 8 hours 45 minutes = 8[tex]\frac{3}{4}[/tex] hours.
speed = [tex]\frac{distance}{time}[/tex]
= [tex]\frac{420}{8\frac{3}{4} }[/tex]
= 420 ÷ [tex]\frac{35}{4}[/tex]
= 420 x [tex]\frac{4}{35}[/tex]
speed = 48 miles per hour
(b) distance = 420 miles, speed = 63 mph.
time = [tex]\frac{distance}{speed}[/tex]
= [tex]\frac{420}{63}[/tex]
= 6 hours 40 minutes
time taken = 6 hours 40 minutes
