4. Two cyclists start from the same point and ride in opposite directions. One cyclist
ride twice as fast as the other. In three hours, they are 72 miles apart. Find the rate
of each cyclist.
Answers
Given : Two cyclists start from the same point and ride in opposite directions
One cyclist ride twice as fast as the other
In three hours, they are 72 miles apart
To Find : rate of each cyclist.
Solution:
Let say speed of one cyclist = A miles/hr
speed of other cyclist = 2A miles/hr
Distance = Speed * time
Distance covered in 3 hrs by 1st cyclist = A * 3 = 3A miles
Distance covered in 3 hrs by 2nd cyclist = 2A * 3 = 6A miles
Total Distance between Them = 3A + 6A = 9A miles
Total Distance = 72 miles
9A = 72
=> A = 8
speed of one cyclist = 8 miles/hr
speed of other cyclist = 2*8 = 16 A miles/hr
rate of each cyclist. = 8 miles per hr & 16 miles per hr
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Step-by-step explanation:
Given:-
Two cyclists start from the same point and ride in opposite directions. One cyclist ride twice as fast as the other. In three hours, they are 72 miles apart.
To find:-
Find the rate of each cyclist.
Solution:-
Let the speed of the slower cyclist be X miles per hour
Then the speed of the faster cyclist=twice the slower=2X miles per hour
Distance covered by slower cyclist in 3 hours
=speed×time
=(X)(3)=3X miles
Distance covered by faster cyclist in 3 hours
=Speed ×time
=(2X)(3)=6X miles
Now in 3 hours they are 72 miles apart
=>3X+6X=72
=>9X=72
=>X=72/9
=>X=8
2X=2×8=16
Solution:-
Speed or rate of the slower cyclist 8 miles per hour
Speed or rate of the faster cyclist 16 miles per hour
Used formula:-
Distance =Speed×Time