Question
A person goes on a 500 km trip using car and plane. The
speed of the car is 80 km/h while the plane travels at 200 km/h. If 30% of the trip is by car, find the approximate average speed for the entire trip.Solution
ATQ,
Time taken by car = [(0.30 × 500)/80] = (150/80) = 1.875 hours
Time taken by plane = [(0.70 × 500)/200] = (350/200) = 1.75 hours
Average speed = [(Total distance)/(Total time)] = [500/(1.875 + 1.75)] = (500/3.625) ~ 138 km/h
Find the length of AB, if ΔABC ~ ΔRQP and BC = 14 cm, QP = 7 cm and RQ = 5 cm.
In the given figure, AB ∥ QP, AB = x, PQ = x + 10, RB = x/2, BP = x + 1. Find PQ.
In the Figure given below, find the value of x?

- In triangle XYZ, UV is drawn parallel to side YZ. If XU = 10 cm, UX = 6 cm, and XV = 15 cm, find XZ.
In a ΔDEF, ∠D = 45°, ∠E = 2∠F. What is the value of ∠F?
- Determine the length of side BC if ∠BAC = 60⁰, AB= 10 cm and AC = 15 cm.
If in triangle ABC, If side AB=6√ 3, AC=12 and BC=6, then angle B equals:
The sides of a triangle are 13 cm, 14 cm, and 15 cm. What is the area of the triangle?
In ∆ PQR, S is the midpoint of QR. T is the midpoint of line PS. Then, Area of ∆PTQ : Area of ∆ PQR is
In ΔPQR, PQ = 4 cm, QR = 3 cm, and RP = 3.5 cm. ΔDEF is similar to ΔPQR. If EF = 9 cm, what is the perimeter of ΔDEF?