The pupils in my class work very quickly. Jasleen answers four questions every 30 seconds and Ella answers five questions every 40 seconds. Last week, Jasleen took exactly 1 hour to answer a large set of questions. How many minutes more than Jasleen did Ella take to answer the same set of questions?
Answers
Given : Jasleen answers four questions every 30 seconds and Ella answers five questions every 40 seconds.
Jasleen took exactly 1 hour to answer a large set of questions.
To find : How many minutes more than Jasleen did Ella take to answer the same set of questions
Solution:
Jasleen answers four questions every 30 seconds
=> Jasleen answers 8 questions every 1 minutes
=> Jasleen answers 60 x 8 = 480 questions every 60 minutes = 1hr
Ella answers five questions every 40 seconds.
=> 1 questions in 8 sec
=> 480 Questions in 480 x 8 secs
= 480 x8 /60 min
= 8 * 8
= 64 mins
Hence 4 mins more taken by Ellina
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Given :- Jasleen answers four questions every 30 seconds and Ella answers five questions every 40 seconds. Last week, Jasleen took exactly 1 hour to answer a large set of questions.
To Find :- How many minutes more than Jasleen did Ella take to answer the same set of questions ?
Answer :-
→ Jasleen answers in 4 question in = 30 sec.
→ Jasleen answer 1 question in = 30/4 = (15/2) sec.
so,
- speed of jasleen = (15/2) question / sec .
similarly,
→ speed of Ella = 40/5 = 8 question / sec .
now,
→ 1 hour jasleen solved questions = Speed * Time = (15/2) * 60 * 60 = 27000 question = Total questions in the set .
then,
→ Time taken by Ella to solve questions of set = (27000/8) = 3375 seconds = (3375/3600) = (135/144) = (45/48) = (15/16) hours = (15/16) * 60 = 56(1/4) minutes .
since,
→ Ella time to solve the set < jasleen time .
→ 56(1/4) minutes < 1 hour .
therefore,
- How many minutes more than Jasleen did Ella take to answer the same set of questions = wrong .
hence,
→ Less time taken by Ella than jasleen = 1 - {56(1/4)} = 3(3/4) minutes . (Ans.)
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