Ram travels half of his journey by train at 80 kmph, half of the remaining with bus at 40 kmph and the rest with cycle at 20 kmph. Find his average speed during the entire journey
Question
Ram travels half of his journey by train at 80 kmph, half of the remaining with bus at 40 kmph and the rest with cycle at 20 kmph. Find his average speed during the entire journey
Solution
Let's assume the total distance of the journey to be D km.
-
Ram travels half of his journey by train, which means he travels D/2 km at a speed of 80 kmph. The time taken for this part of the journey can be calculated using the formula time = distance/speed. So, the time taken is (D/2)/80 = D/160 hours.
-
Half of the remaining journey means he travels D/4 km by bus at a speed of 40 kmph. The time taken for this part of the journey is (D/4)/40 = D/160 hours.
-
The rest of the journey, which is also D/4 km, is travelled by cycle at a speed of 20 kmph. The time taken for this part of the journey is (D/4)/20 = D/80 hours.
-
The total time taken for the journey is the sum of the time taken for each part, which is D/160 + D/160 + D/80 = D/80 hours.
-
The average speed is calculated as total distance/total time. So, the average speed of Ram during the entire journey is D/(D/80) = 80 kmph.
Similar Questions
A man drives his car for 24 km at a speed of 48 km/h, and for the next 1.5 hours he drives at a speed of 80 km/h. Find his average speed (in km/h) for the entire journey.
A train covers half of its journey with a speed of 30 m/s and other half with a speed of 40 m/s.Calculate it’s average speed for the entire journey.
A bus travels up a hill at a constant speed of 40 km/h and returns down the hill at a constant speed of 60 km/h. Calculate the average speed for the whole trip in m/s.
Context: A bus covers the first half of a total distance with a speed of 50 m/s and then covers the second half of the distance with a speed of 60 m/s. Find the average speed of the bus over the entire trip. Answer question
A vehicle moves for half of its time at 80 km/h and for rest half of time at 40 km/h. Total distance covered is 60 km. What is the average speed of the car.A 60 km/h B 80 km/h C 120 km/h D 180 km/h
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.