Question

A man travels a specific distance at a given speed, completing the journey in a set amount of time. If he had reduced his speed by 10 km/h, it would have taken him an additional 2 hours to cover the same distance. Further, if he had decreased his speed by another 10 km/h (a total reduction of 20 km/h from the original speed), the journey would have taken an additional 3 hours beyond the initial 2-hour delay. Determine the total distance he traveled.

Q: Answer-A man travels a specific distance at a given speed, completing the journey in a set amount of time....

Let, distance be d km So, ds 10 ds 2 Or, 10d 2ss 10 Or, d 2 ss 1010 -----i And, ds 20 ds 5 Or, 20d 5 ss 20 Or, d 5 ss 2020 --------ii From i and ii, Let S1 10 kmh S2 20 kmh T1 2 hours T2 5 hours Let original speed be S kmh S 10 210 S 20 520 4S 10 5S 20 4S 40 5S 100 S 60 kmh Required distance 60 60 1010 2 60 5 2 600 km