Mathematics 2022 JAMB Past Questions - Question 23: A car travels from Calabar to Enugu, a distance of pkm with an average speed of ukm per hour and continues to Benin, a distance of qkm, with an average speed of wkm per hour. Find its average speed from Calabar to Benin.

Correct Answer

B

Explanation

To find the average speed from Calabar to Benin, we need to calculate the total distance traveled and the total time taken.The distance from Calabar to Enugu is p km, and the distance from Enugu to Benin is q km. Therefore, the total distance traveled is p + q km.The time taken to travel from Calabar to Enugu can be calculated by dividing the distance by the average speed, which is p/u hours.The time taken to travel from Enugu to Benin can be calculated by dividing the distance by the average speed, which is q/w hours.The total time taken is p/u + q/w hours.To find the average speed, we divide the total distance by the total time:Average speed = Total distance / Total time              = (p + q) / (p/u + q/w) km/hSimplifying this expression, we can find the average speed from Calabar to Benin.To find the average speed from Calabar to Benin, we need to calculate the total distance traveled and the total time taken.The distance from Calabar to Enugu is p km, and the distance from Enugu to Benin is q km. Therefore, the total distance traveled is p + q km.The time taken to travel from Calabar to Enugu can be calculated by dividing the distance by the average speed, which is p/u hours.The time taken to travel from Enugu to Benin can be calculated by dividing the distance by the average speed, which is q/w hours.The total time taken is p/u + q/w hours.To find the average speed, we divide the total distance by the total time:Average speed = Total distance / Total time              = (p + q) / (p/u + q/w) km/hSimplifying this expression, we can find the average speed from Calabar to Benin.