Robert Is Traveling On His Cycle And Has Calculated To Reach Point A

1.	Robert Is Traveling On His Cycle And Has Calculated To Reach Point A At 2 P.m. If He Travels At 10 Km/hr; He Will Reach There At 12 Noon If He Travels At 15 Km/hr. At What Speed Must He Travel To Reach A At 1 P.m. ?
Answer» Let the distance traveled be x km. Then, x/10 - x/15 = 2 3x - 2x = 60 => x = 60 km. Time taken to travel 60 km at 10 km/hr = 60/10 = 6 HRS. So, Robert started 6 hours before 2. p.m. i.e., at 8 a.m. REQUIRED speed = 60/5 = 12 kmph. Let the distance traveled be x km. Then, x/10 - x/15 = 2 3x - 2x = 60 => x = 60 km. Time taken to travel 60 km at 10 km/hr = 60/10 = 6 hrs. So, Robert started 6 hours before 2. p.m. i.e., at 8 a.m. Required speed = 60/5 = 12 kmph.

Robert Is Traveling On His Cycle And Has Calculated To Reach Point A At 2 P.m. If He Travels At 10 Km/hr; He Will Reach There At 12 Noon If He Travels At 15 Km/hr. At What Speed Must He Travel To Reach A At 1 P.m. ?

Answer»

Let the distance traveled be x km.

Then, x/10 - x/15 = 2

3x - 2x = 60 => x = 60 km.

Time taken to travel 60 km at 10 km/hr = 60/10 = 6 HRS.

So, Robert started 6 hours before 2. p.m. i.e., at 8 a.m.

REQUIRED speed = 60/5 = 12 kmph.

Let the distance traveled be x km.

Then, x/10 - x/15 = 2

3x - 2x = 60 => x = 60 km.

Time taken to travel 60 km at 10 km/hr = 60/10 = 6 hrs.

So, Robert started 6 hours before 2. p.m. i.e., at 8 a.m.

Required speed = 60/5 = 12 kmph.