If a man had walked 2 km /hrs faster. He would have taken 40 minutes less to walk 5 km. Find the speed of walking
Answers
Answered by
51
Distance Walked = 5km
Original Speed = x km/hr
Time Taken (T1) = Distance/Speed = 5/x
Distance Walked = 5km
New Speed = (x+2) km/hr
Time Taken (T2) = Distance/Speed = 5/(x+2)
Difference between times = 40mins = 2/3 hrs
T1 - T2 = 2/3 hrs
5/(x) - 5/(x+2) = 2/3 hrs
5(x+2) - 5(x) = 2(x)(x+2)/3 (taking LCM)
10 = (2x+ 4x)/3
30 = (2x + 4x)
0 = 2x + 4x - 30
0 = 2x(x+5) - 6(x+5)
x= -5 , +3
Since speed can't be negative so, original speed x = 3 km/hr
Original Speed = x km/hr
Time Taken (T1) = Distance/Speed = 5/x
Distance Walked = 5km
New Speed = (x+2) km/hr
Time Taken (T2) = Distance/Speed = 5/(x+2)
Difference between times = 40mins = 2/3 hrs
T1 - T2 = 2/3 hrs
5/(x) - 5/(x+2) = 2/3 hrs
5(x+2) - 5(x) = 2(x)(x+2)/3 (taking LCM)
10 = (2x+ 4x)/3
30 = (2x + 4x)
0 = 2x + 4x - 30
0 = 2x(x+5) - 6(x+5)
x= -5 , +3
Since speed can't be negative so, original speed x = 3 km/hr
Answered by
6
Step-by-step explanation:
Distance Walked = 5km
Original Speed = x km/hr
Time Taken (T1) = Distance/Speed = 5/x
Distance Walked = 5km
New Speed = (x+2) km/hr
Time Taken (T2) = Distance/Speed = 5/(x+2)
Difference between times = 40mins = 2/3 hrs
T1 - T2 = 2/3 hrs
5/(x) - 5/(x+2) = 2/3 hrs
5(x+2) - 5(x) = 2(x)(x+2)/3 (taking LCM)
10 = (2xx^{2}x
2
+ 4x)/3
30 = (2xx^{2}x
2
+ 4x)
0 = 2xx^{2}x
2
+ 4x - 30
0 = 2x(x+5) - 6(x+5)
x= -5 , +3
Since speed can't be negative so, original speed x = 3 km/hr
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