Question
Amrita traveled a certain distance, covering 50% of it
at a speed of 15 km/h, then 40% of the remaining distance at 7.5 km/h, and the rest at 9 km/h. If it took her a total of 14 hours to complete the entire journey, what is the total distance she covered?Solution
ATQ, We can say that distance covered by Amrita be β100aβ km. Distance covered at 15 km/h = 100a Γ 0.50 = β50aβ km Distance covered at 7.5 km/h = 50a Γ 0.40 = β20aβ km Distance covered at 9 km/h = 50a β 20a = β30aβ km ATQ; (50a/15) + (20a/7.5) + (30a/9) = 14 Or, 150a + 120a + 150a = 14 Γ 45 Or, 420a = 14 Γ 45 So, a = 1.5 So, required distance = 100 Γ 1.50 = 150 km
Train βAβ can cross a pole in 6 seconds and a 120 metre long platform in 12 seconds. If the ratio of length of train βAβ and train βBβ is 2:...
A train 256 meter long running with the speed of 80 kmph crosses a bridge in 18 seconds then what is the length of bridge?
Time is taken by two trains running in opposite directions to cross a man standing on the platform in 28 seconds and 16 seconds respectively. It took 24...
Train A running at speed of 126 km/hr crosses a platform having twice the length of train in 15 sec. Train B whose length is 400m crosses same platform ...
A train travelling with a speed of 90 km/h can cross a pole in 8 seconds. Find the time taken by the train to cross a 300 metres long platform if the sp...
Train βAβ running with a speed of 63 km/hr can cross a standing goods train of 4 times its length in 24 seconds. Find the time taken by 150 metres l...
A goods train leaves a station at a certain time and at a fixed speed. After 8 hours, an express train leaves the same station and moves in the same dir...
A train travelling with a speed of βxβ km/h can cross a pole in 6 seconds, and a 180 metre long platform in 15 seconds. Find the distance travelled ...
A train started from station P and preceded towards station Q at a speed of 54 km/h. 40 minutes later, another train started from station Q and preceded...
A train 480 metres long is running at a speed of 54 km/hr. If it crosses a tunnel in 1 minute, then the length of the tunnel (in meters) is: