Resting 9hrs a a day Ramlal travels a certain distance in 40days.Resting double the time how many days will he take to travel double the distance at double the speed?
Answers
Ramal walks 9 hours.
One day = 24 hours.
So, Ramal walks = 24 - 9
=> 15 hrs. in a day
Given that he travels a certain distance in 40 days.
So, total time he walked = 15 × 40 = 600 hrs.
We don't have given his speed, that with what speed he is walking.
Let us assume that he is walking with speed of 1 km/hr.
Now,
Speed = 1 km/hr.
Time = 600 hrs.
Speed = Distance/Time
Distance = Speed × Time
Substitute the known values in above formula
=> Distance = 1 × 600
=> Distance = 600 km
According to question, we have to find that how many days will he take to travel double the distance at double the speed.
Now,
Double of the distance = 600 × 2
=> 1200 km
Double the speed = 1 × 2
=> 2 km/hr.
If distance and speed is doubled then the rest is also doubled.
So, rest = 9 × 2 = 18 hrs.
Now, Ramal walks = 24 - 18 = 6 hrs. a day
Distance travelled by Ramal in one day = Speed × Time
=> 2 × 6
=> 12 km
Now,
Total number of days = Double of the distance/Distance travelled in one day
Substitute the known values in above formula
=> Total number of days = 1200/12
=> Total number of days = 100 days
Resting 9hrs a a day Ramlal travels a certain distance in 40days.Resting double the time how many days will he take to travel double the distance at double the speed?
24-9 = 15hr
15×40=600
24-16=6
600÷6= 100days