Road trip to Joshimath in Uttarakhand during a Chardham drive

Joshimath to Badrinath via landslide prone NH58 = 43 kms.
Joshimath to Govindghat via NH58 for onwards trek to Valley of Flowers = 18 kms.

How to travel from Delhi to Govindghat by public transport

Take an early morning bus or train from Delhi to Haridwar and spend the evening at Har-ki-pauri.
Or avail a night train or early evening bus from Delhi to Haridwar.

Board the early morning bus from Haridwar to Govindghat. The journey from Haridwar will take 12 - 14 hrs.

There's also an option of boarding a bus that goes from Kashmiri Gate in Delhi to Guptkashi at around 9pm. Get down at Devprayag, take shared cab to Govindghat from there.