the time that rahim takes to cover up by running a circular field is 40 second less when he goes one end to other end diametrically .speed of rahim is 90 meter per minute .let us calculate the length of diameter of the field .
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Speed of Rahim = 90 m/min
Distance travelled when Rahim go circularly = 2πr
Time taken Tc = Distance/speed = 2πr/90
=πr/45 min
Distance travelled when he go diametrically
=2r
time taken Td = 2r/90 min =r/45 min
According to the question ,
Tc-Td=40s
πr/45-r/45=40/60 min
r/45(π-1)= 2/3
r=2×(96.3)/3
r=64.2
d=128.4m
Distance travelled when Rahim go circularly = 2πr
Time taken Tc = Distance/speed = 2πr/90
=πr/45 min
Distance travelled when he go diametrically
=2r
time taken Td = 2r/90 min =r/45 min
According to the question ,
Tc-Td=40s
πr/45-r/45=40/60 min
r/45(π-1)= 2/3
r=2×(96.3)/3
r=64.2
d=128.4m
sushant2505:
After πr/45-r/45=40/60. ____ r/45(π-1)=2/3.______ r/45(15/7)=2/3______ r=14m______ diameter is 28 m___' it is the right answer
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