Robert is travelling on his cycle and has calculated to reach point A at 2 pm 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 pm?

8 km/hr

No worries! We‘ve got your back. Try BYJU‘S free classes today!

11 km/hr

No worries! We‘ve got your back. Try BYJU‘S free classes today!

12 km/hr

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

14 km/hr

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is C 12 km/hr
Let the distance travelled be x km Then $\frac{x}{10} - \frac{x}{15} = 2 \Rightarrow 3 x - 2 x = 60 \Rightarrow x = 60$ km
Time taken to travel 60 km at 10 km/hr = $(\frac{60}{10})$ hrs = 6 hrs
So Robert started 6 hours before 2 P.M. i.e. at 8 P.M.
$∴$ Speed required to reach A at 1 P.M. = $(\frac{60}{5})$ km/hr = 12 km/hr

Suggest Corrections

Similar questions

Q. Ram travels a certain distance at 3 km/hr and reaches 15 min. late. If he travels at 4 km/hr, he reaches 15 min. earlier. The distance he has to travel is _____.

Q. If a man cycles at 10 km/hr, then he arrives at a certain place at 1 p.m. If he cycles at 15 km/hr, he will arrive at the same place at 11 a.m. At what speed must he cycle to get there at noon ? (2004)

Q. Q8) If Ram travels at a speed of 60 km/hr, from his home to class room, he reaches the class 10 mins late. If he travels at a speed of 80 km/hr, from his home to class room, he reaches the class 10 mins early. What is the distance between his home and classroom?

Q. If Abhishek travels at a speed of 25 km/hr in his car, he reaches office 4 minute late. If he drives at a speed of 30 km/hr, he reaches office 10 minutes early. Find the distance between his office and his home.

Vijay has to go to office from home. He travels the first half of the distance at speed of 30 km/hr. For the remaining distance he travels at 10 km/hr for half the time and at 20 km/hr for the rest. Find his average speed.

Join BYJU'S Learning Program

Robert is travelling on his cycle and has calculated to reach point A at 2 pm 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 pm?

The correct option is C 12 km/hrLet the distance travelled be x km Then x10−x15=2⇒3x−2x=60⇒x=60 kmTime taken to travel 60 km at 10 km/hr = (6010) hrs = 6 hrsSo Robert started 6 hours before 2 P.M. i.e. at 8 P.M.∴ Speed required to reach A at 1 P.M. = (605) km/hr = 12 km/hr