Two cars P and Q start from two points A and B towards each other simultaneously. They meet for the first time 40 km from B. After meeting they exchange their speeds as well as directions and proceed to their respective starting points. On reaching their starting points, they turn back with the same speeds and meet at a point 20 km from A. Find the distance between A and B.130 km100 km120 km110 km
Question
Two cars P and Q start from two points A and B towards each other simultaneously. They meet for the first time 40 km from B. After meeting they exchange their speeds as well as directions and proceed to their respective starting points. On reaching their starting points, they turn back with the same speeds and meet at a point 20 km from A. Find the distance between A and B.130 km100 km120 km110 km
Solution
Let's denote the distance between A and B as D.
Step 1: When the cars first meet, the total distance they have covered is D. We know that they meet 40 km from B, so the distance car P has traveled from A is D - 40 km.
Step 2: After they meet, they exchange speeds and directions. This means that car P now travels the remaining 40 km to B at the speed car Q was originally traveling, and car Q travels the remaining distance to A (D - 40 km) at the speed car P was originally traveling.
Step 3: Because they reach their starting points at the same time, we know that the time it takes car P to travel 40 km at car Q's speed is the same as the time it takes car Q to travel (D - 40 km) at car P's speed.
Step 4: They then turn back and meet again, this time 20 km from A. This means car P has traveled 20 km and car Q has traveled D - 20 km.
Step 5: Because they meet at the same time, we know that the time it takes car P to travel 20 km at its original speed is the same as the time it takes car Q to travel (D - 20 km) at its original speed.
Step 6: From steps 3 and 5, we can set up the following equation: (D - 40 km) / (D - 20 km) = 40 km / 20 km.
Step 7: Solving this equation gives D = 120 km.
So, the distance between A and B is 120 km.
Similar Questions
Two cars start from A and B and travel towards each other at the speed of 50 kmph and 60 kmph respectively. At the time of their meeting, the second car has travelled 120 km more than the first, the distance between A and B is?3120 kms1320 kms600 kms
Two friends P and Q started walking towards each starting from points A and B respectively, which are 200 km apart. On a straight road P traveled for 30 km on road and stopped. Q traveled for 70 km, and took a left turn and traveled 20 km. Then he took right turn and traveled 45 km and then turned to the main road and reached it. What is the distance, in km , between the friends now?
Two cars A and B start simultaneously from two different places and travels towards each other. They arrive at their destination after 2 hrs and 3 hrs respectively. If speed of car A is 48 km/hr. what is the speed of car B?Options40 km/hr.32 km/hr.48 km/hr.36 km/hr.
A and B started towards each other simultaneously with velocities 40 kmph and 50 kmph respectively. If they meet each other after 20 minutes, what would be the distance between A and B when they started? Ops: A. 75 km B. 60 km C. 45 km D. 30 km
Aptitude:speed and distance [Section 1 of 1] Q16 of 30 Marks 1 General Instructions 100% ×CloseTest time left: 11:44Select the correct answerTwo cars A and B start simultaneously from two different places and travels towards each other. They arrive at their destination after 2 hrs and 3 hrs respectively. If speed of car A is 48 km/hr. what is the speed of car B?
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.