Question
A driver covers a distance in three stages. In the first 'z - 50' km, he drives at 40 km/h, for the next 'z' km at 60 km/h, and the remaining 'z + 50' km at 50 km/h. If the overall average speed is 50 km/h, calculate 'z'.
Then, Average Speed Equation: Average Speed= (Total Distance/Total Time) = 50 km/h 
Now, Set Up the Equation: 
Then, solve for 'z' Find a common denominator (600) and combine terms: 
Cross-multiply and solve: 1800z = 1850z - 7500 7500 − 50z = -7500 z = 150More Time and distance Questions
- Sunil covered 50% of his journey at 90 km/h and rest at 150 km/h. Determine the average speed of Sunil during the entire journey.
- If the diameter of a sphere is 42 cm, find the total surface area of the sphere.
- The speed of a racer bike is 30% more than a normal bike. If the time taken by the racer bike to cover (3x + 46) km is equal to the time taken by the norma...
- Out of a journey of 360 km, Rahul travels a part by bike at 60 km/h, and the rest by scooter at 40 km/h. If the total time taken by him is 7.5 hours, find ...
- Bus X left Delhi for Jaipur at 4:00 am and Bus Y left Jaipur for Delhi at 6:00 am, while at 8:00 am the distance between both buses X and Y is (3T+2) km. I...
- A bus is running at a speed of 90 km/ph. What distance will it cover in 25 seconds?
- Bikes 'X' and 'Y' are moving towards one another on a straight road at 48 km/h and 60 km/h respectively. If the distance separating them is 600 metres, fin...
- Three persons named P, Q, R started their journey at 9.30 AM, 11.30 AM, 2 PM respectively from A to B. The speed of Q is √625 m/sec. Q reached the destinat...
- ‘A’ and ‘B’ started moving towards each other at same time with a speed of 23 km/hr and 24 km/hr, respectively. If the distance covered by ‘A’ is 8 km more...
- A can walk a certain distance in 11 days when he rests 8 hours a day. How long will he take to walk twice the distance, twice as fast and resting twice as ...
Relevant for Exams:
Hey! Ask a query
Please enter email id
The email must be a valid email address.
Please enter Mobile Number
Please enter valid Mobile Number
Please enter your Doubt
