If Manoj cycles at 12 kmph instead of 10 kmph, he would have cycled 15 km more. What is the actual distance cycled by him?

75 km

Let the time be t hours

Distance = Speed × Time

According to the question

 12t - 10t = 15

2t = 15

t = 7.5 hours

His actual speed is 10 km/h

So the actual distance is = 10 × 7.5 = 75 km.

Hence ,  The actual distance is 75 km.