Directions: Answer the questions based on the following information.

A road network (shown figure) connects cities A, B, C and D all road segments are the straight line. D is the mid-point of the road connecting A and C. Roads AB and BC are at right angles to each other with BC shorter than AB, the segment AB is 100km long.

Ms.X and Mr Y leave A at 8.00 a.m .., take different routes to city C and reach at the time. X takes the highway from A to B to C and travels at an average speed of 61.875 km/hr. Y takes the direct route AC and travels at 45 km/hr on segment AD. Y's speed on segment DC is 55 km/hr.

What is the length of road segment BD?

50 km

No worries! We‘ve got your back. Try BYJU‘S free classes today!

52.5 km

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

55 km

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Cannot be determined

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is B 52.5 km
BD is half of AC. Solve for AC. You will get AC = 105.
Hence BD will be 52.5 or option (b)

Suggest Corrections

Similar questions

Q. Directions: Answer the questions based on the following information.

A road network (shown figure)connects cities A, B, C and D all road segments are the straight line. D is the mid-point of the road connecting A and C. Roads AB and BC are at right angles to each other with BC shorter than AB, the segment AB is 100km long.

Ms.X and Mr Y leave A at 8.00 a.m .., take different routes to city C and reach at the time. X takes the highway from A to B to C and travels at an average speed of 61.875 km/hr. Y takes the direct route AC and travels at 45 km/hr on segment AD. Y's speed on segment DC is 55 km/hr.

What is the average speed of Y?

Q21. There are three cities A, B and C, each of these cities is connected with the other two cities by at least one direct road. If a traveler wants to go from one city (origin) to another city (destination), she can do so either by traversing a road connecting the two cities directly, or by traversing two roads, the first connecting the origin to the third city and the second connecting the third city to the destination. In all there are 33 routes from A to B (including those via C). Similarly there are 23 routes from B to C (including those via A). How many roads are there from A to C directly?

Q. There are three cities: A, B and C. Each of these cities is connected with the other two cities by at least one direct road. If a traveller wants to go from one city (origin) to another city (destination), she can do so either by traversing a road connecting the two cities directly, or by traversing two roads, the first connecting the origin to the third city and the second connecting the third city to the destination. In all, there are 33 routes from A to B (including those via C). Similarly, there are 23 routes from B to C (including those via A). How many roads are there from A to C directly?

Q. There are three cities A, B and C, each of these cities is connected with the other two cities by at least one direct road. If a traveller wants to go from one city (origin) to another city (destination), she can do so either by traversing a road connecting the two cities directly, or by traversing two roads, the first connecting the origin to the third city and the second connecting the third city to the destination. In all there are 33 routes from A to B (including those via C). Similarly there are 23 routes from B to C (including those via A). How many roads are there from A to C directly?

Q. A, B, C are three towns connected by straight roads from A to B, B to C and C to A.AB=5km, BC= 6 km CA = 7km. Two cyclists start simultaneously form A and go In different roads with same speed. They meet at D. then length of BD is

Join BYJU'S Learning Program

The correct option is B 52.5 kmBD is half of AC. Solve for AC. You will get AC = 105. Hence BD will be 52.5 or option (b)

The correct option is B 52.5 km
BD is half of AC. Solve for AC. You will get AC = 105.
Hence BD will be 52.5 or option (b)