LIVE Course for free

Rated by 1 million+ students
Get app now
JEE MAIN 2023
JEE MAIN 2023 TEST SERIES
NEET 2023 TEST SERIES
NEET 2023
CLASS 12 FOUNDATION COURSE
CLASS 10 FOUNDATION COURSE
CLASS 9 FOUNDATION COURSE
CLASS 8 FOUNDATION COURSE
0 votes
79 views
in Aptitude by (30.0k points)
closed by
Vimal starts for office every day at 9 am and reaches exactly on time if she drives at her usual speed of 40 km/hr. She is late by 6 minutes if she drives at 35 km/hr. One day, she coves two-thirds of her distance to the office in one-thirds of her usual time to reach office and then stops for 8 minutes. The speed, in km/hr at which she should drive the remaining distance to reach office exactly on time, is
1. 20
2. 28
3. 26
4. 29

1 Answer

0 votes
by (41.6k points)
selected by
 
Best answer
Correct Answer - Option 2 : 28

Calculation:

We can tabulate the given information as follows:

  Time (in hours) Speed (in km/h)
Initially t (assume) 40
Finally t + (6/60) 35

Hence, we obtain the distance as:

40t = 35 × [t + (6/60)]

⇒ 5t = 7/2

⇒ t = 42 minutes

So, the total distance = 40 × (42/60) = 28 km

one-thirds of her usual time = 42/3 = 14 minutes

remaining distance = 28/3 km

To reach the office in the usual time, let the required speed be v km/h

⇒ (14/60) + (8/60) + (28/3v) = 42/60

∴ v = 28 km/h

Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students.

Categories

...