Question

mathew travel equal distances with a speed of 3 km/hr 4 km/hr 5 km /hr and takes a total of 1 hour 34 minutes . find the total distances travel​

Answer 1

Step-by-step explanation:

Formula :-  Speed  =  Distance / Time

Let each equal distance be 'x'

∴ For Speed = 3 km/hr

3  =  (x)  ×  Time

∴ Time =  3 / x

For Speed =  4 km/hr

4  =  (x)  ×  Time

∴ Time  =  4 / x

For Speed =  5 km/hr

5  =  (x)  ×  Time

∴ Time =  5 / x

∴ Total Time Taken =  1 Hour 34 Minutes  =  1.56 Hours

... [ 1 Hour = 60 Minutes ]

∴ From the previous calculation we did :-

3/x  +  4/x  + 5/x  =  1.56

∴ 12/x  =  1.56

∴  x  =  12 / 1.56  =  7.69

∴  x   =  7.69

∴ Total Distance Covered =  ( x  +  x  +  x )

=  ( 7.69  + 7.69 +  7.69 )

=  23.07

∴ Total Distance Covered =  23.07 Km  ≈  23 Km

Answer :-  Total Distance Covered =  23.07  ≈ 23  Kilometers.

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