Question
A and B can complete a piece of work in 15 days, B and C
in 30 days and C and A in 45 days. In how many days will they complete the work if they start working together?Solution
Let the work rates of A, B, and C be A, B, and C respectively. A + B = 1/15 B + C = 1/30 C + A = 1/45 Adding these three equations: (A + B) + (B + C) + (C + A) = 1/15 + 1/30 + 1/45 ⇒ 2A + 2B + 2C = 1/15 + 1/30 + 1/45 ⇒ 2(A + B + C) = (6 + 3 + 2) / 90 ⇒ 2(A + B + C) = 11 / 90 ⇒ A + B + C = 11 / 180 Time taken when A, B, and C work together = 1 / (A + B + C) ⇒ Time = 1 / (11 / 180) ⇒ Time = 180 / 11 ⇒ Time = 16 (4/11) days
Select the option which correctly converts the given sentence into direct speech.
He exclaimed with regret that he had behaved very rudely with h...
Select the option that expresses the given sentence in direct speech.
The traveller said that he had come a long way off.
Select the option that expresses the given sentence in indirect speech.
The priest said to me, “You have committed a cardinal sin.”
Himani said, “Jupiter is the largest planet in the solar system”.
Select the correct indirect/direct speech for the given sentence
Father said to son, “ what time do the schools open and close?”
...He said,"Be quiet and listen to my words."
The teacher told the students that the planets _____________ around the Sun.
Select the correct direct form of the given sentence.
The teacher commanded the students not to shout.
Select the correct indirect form of the given sentence.
She said, “I am in no mood to work now.”
Select the most appropriate indirect/direct form of the given sentence.
She promised, “I will call you tomorrow.”
Relevant for Exams:
