How to calculate the speed of the slower horse in the following question?
Two horses start trotting towards each other, one from A to B and another from B to A. They cross each other after one hour and the first horse reaches B, 5/6 hour before the second horse reaches A. If the distance between A and B is 50 km, what is the speed of the slower horse?
Options are as follows:
1) 30 km/h
2) 15 km/h
3) 20 km/h
4) 25 km/h
Two horses start trotting towards each other, one from A to B and another from B to A. They cross each other after one hour and the first horse reaches B, 5/6 hour before the second horse reaches A. If the distance between A and B is 50 km, what is the speed of the slower horse?
Options are as follows:
1) 30 km/h
2) 15 km/h
3) 20 km/h
4) 25 km/h
1 Answer
3) 20 km/h
Explanation:
We have two different times and distances related by the same rate. The basic equation is
The second set are the time equations related to the total distance:
We also know that
Pick a number from the options to avoid further math manipulations.
For:
Check:
For:
Check:
You can try out the others.