Answer:
The speed should he travel to arrive on time is 12 km/h
Step-by-step explanation:
Given as :
Let the time taken by bicyclist = T h
If bicyclist travel with speed 10 km/h,
Then the time taken by him = ( T + 1 ) hours
Again
If bicyclist travel with speed 15 km/h ,
Then the time taken by him = ( T - 1 ) hours
Now Let The distance cover by bicyclist = D km = Speed × Time
So, As The distance cover is same for both case
∴ 10 × (T + 1 ) = 15 × (T - 1)
Or, 2 × (T + 1 ) = 3 × (T - 1)
Or, 2 T + 2 = 3 T - 3
Or, 3 +2 = 3 T - 2 T
∴ T = 5 hour
So, Distance cover by bicyclist = D = 10 × (5 + 1 )
Or, D = 60 km
So, new speed of bicyclist with time 5 hour and distance cover 60 km
New Speed =
Or, New Speed =
∴ New Speed = 12 km/h
Hence The speed should he travel to arrive on time is 12 km/h Answer